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Title: SEM-EBSD based Realistic Modeling and Crystallographic Homogenization FE Analyses of LDH Formability Tests

Abstract

Homogenization algorithm is introduced to the elastic/crystalline viscoplastic finite element (FE) procedure to develop multi-scale analysis code to predict the formability of sheet metal in macro scale, and simultaneously the crystal texture and hardening evolutions in micro scale. The isotropic and kinematical hardening lows are employed in the crystalline plasticity constitutive equation. For the multi-scale structure, two scales are considered. One is a microscopic polycrystal structure and the other a macroscopic elastic plastic continuum. We measure crystal morphologies by using the scanning electron microscope (SEM) with electron back scattered diffraction (EBSD), and define a three dimensional representative volume element (RVE) of micro ploycrystal structure, which satisfy the periodicity condition of crystal orientation distribution. Since nonlinear multi-scale FE analysis requires large computation time, development of parallel computing technique is needed. To realize the parallel analysis on PC cluster system, the dynamic explicit FE formulations are employed. Applying the domain partitioning technique to FE mesh of macro continuum, homogenized stresses based on micro crystal structures are computed in parallel without solving simultaneous linear equation. The parallel FEM code is applied to simulate the limit dome height (LDH) test problem and hemispherical cup deep drawing problem of aluminum alloy AL6022, mild steel DQSK,more » high strength steel HSLA, and dual phase steel DP600 sheet metals. The localized distribution of thickness strain and the texture evolution are obtained.« less

Authors:
;  [1]; ;  [2];  [3];  [4]
  1. Faculty of Engineering, Osaka Institute of Technology, 5-16-1 Omiya, Asahi-ku, Osaka 535-8585 (Japan)
  2. Osaka Sangyo University, 3-1-1 Nakagaito, Daito Osaka 574-8530 (Japan)
  3. Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555 (Japan)
  4. Furukawa Electric Co. Ltd., 2-4-3 Okano, Nishi-ku, Yokohama 220-0073 (Japan)
Publication Date:
OSTI Identifier:
21057350
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 908; Journal Issue: 1; Conference: NUMIFORM '07: 9. international conference on numerical methods in industrial forming processes, Porto (Portugal), 17-21 Jun 2007; Other Information: DOI: 10.1063/1.2740799; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ALUMINIUM ALLOYS; BACKSCATTERING; CARBON STEELS; COMPUTERIZED SIMULATION; CRYSTAL STRUCTURE; DRAWING; ELECTRON DIFFRACTION; FINITE ELEMENT METHOD; HARDENING; METALS; MORPHOLOGY; NONLINEAR PROBLEMS; PLASTICITY; POLYCRYSTALS; SCANNING ELECTRON MICROSCOPY; SHEETS; STRAINS; STRESSES; TEXTURE

Citation Formats

Kuramae, Hiroyuki, Nakamachi, Eiji, Ngoc Tam, Nguyen, Nakamura, Yasunori, Sakamoto, Hidetoshi, and Morimoto, Hideo. SEM-EBSD based Realistic Modeling and Crystallographic Homogenization FE Analyses of LDH Formability Tests. United States: N. p., 2007. Web. doi:10.1063/1.2740799.
Kuramae, Hiroyuki, Nakamachi, Eiji, Ngoc Tam, Nguyen, Nakamura, Yasunori, Sakamoto, Hidetoshi, & Morimoto, Hideo. SEM-EBSD based Realistic Modeling and Crystallographic Homogenization FE Analyses of LDH Formability Tests. United States. doi:10.1063/1.2740799.
Kuramae, Hiroyuki, Nakamachi, Eiji, Ngoc Tam, Nguyen, Nakamura, Yasunori, Sakamoto, Hidetoshi, and Morimoto, Hideo. Thu . "SEM-EBSD based Realistic Modeling and Crystallographic Homogenization FE Analyses of LDH Formability Tests". United States. doi:10.1063/1.2740799.
@article{osti_21057350,
title = {SEM-EBSD based Realistic Modeling and Crystallographic Homogenization FE Analyses of LDH Formability Tests},
author = {Kuramae, Hiroyuki and Nakamachi, Eiji and Ngoc Tam, Nguyen and Nakamura, Yasunori and Sakamoto, Hidetoshi and Morimoto, Hideo},
abstractNote = {Homogenization algorithm is introduced to the elastic/crystalline viscoplastic finite element (FE) procedure to develop multi-scale analysis code to predict the formability of sheet metal in macro scale, and simultaneously the crystal texture and hardening evolutions in micro scale. The isotropic and kinematical hardening lows are employed in the crystalline plasticity constitutive equation. For the multi-scale structure, two scales are considered. One is a microscopic polycrystal structure and the other a macroscopic elastic plastic continuum. We measure crystal morphologies by using the scanning electron microscope (SEM) with electron back scattered diffraction (EBSD), and define a three dimensional representative volume element (RVE) of micro ploycrystal structure, which satisfy the periodicity condition of crystal orientation distribution. Since nonlinear multi-scale FE analysis requires large computation time, development of parallel computing technique is needed. To realize the parallel analysis on PC cluster system, the dynamic explicit FE formulations are employed. Applying the domain partitioning technique to FE mesh of macro continuum, homogenized stresses based on micro crystal structures are computed in parallel without solving simultaneous linear equation. The parallel FEM code is applied to simulate the limit dome height (LDH) test problem and hemispherical cup deep drawing problem of aluminum alloy AL6022, mild steel DQSK, high strength steel HSLA, and dual phase steel DP600 sheet metals. The localized distribution of thickness strain and the texture evolution are obtained.},
doi = {10.1063/1.2740799},
journal = {AIP Conference Proceedings},
number = 1,
volume = 908,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2007},
month = {Thu May 17 00:00:00 EDT 2007}
}